Number of men???

Thats a very awkward question.

Whats the source?

Total food available for 45 days
reinforcements arrive after 15 days -> remaining 30 days

Now food lasted in 20 days instead of 30 days

10 days reduced because of reinforcements

Let x be the strength of reinforcements

x * 20 = 80 * 10

x = 40 men

akhp77 wrote:Total food available for 45 days
reinforcements arrive after 15 days -> remaining 30 days

Now food lasted in 20 days instead of 30 days

10 days reduced because of reinforcements

Let x be the strength of reinforcements

x * 20 = 80 * 10

x = 40 men

Where are you getting the 80 * 10 from? I mean the 10 from?

beatthegmatinsept wrote:

akhp77 wrote:Total food available for 45 days
reinforcements arrive after 15 days -> remaining 30 days

Now food lasted in 20 days instead of 30 days

10 days reduced because of reinforcements

Let x be the strength of reinforcements

x * 20 = 80 * 10

x = 40 men

Where are you getting the 80 * 10 from? I mean the 10 from?

No of men initially = 80

Weak Method
80*45 = 80*15 + (80+X) * 20

and wheres the 80 from buddy?

thanks

Gurpinder wrote:and wheres the 80 from buddy?

thanks

I think 80 is the initial number of men.

Gurpinder wrote:and wheres the 80 from buddy?

thanks

See above my post

akhp77 wrote:

Gurpinder wrote:and wheres the 80 from buddy?

thanks

See above my post

Makes sense.. Thanks

akhp77 wrote:Total food available for 45 days
reinforcements arrive after 15 days -> remaining 30 days

Now food lasted in 20 days instead of 30 days

10 days reduced because of reinforcements

Let x be the strength of reinforcements

x * 20 = 80 * 10

x = 40 men

Awesome technique, but took long time to understand..
I am sure I cannot come up with such shortcut in less than 2 mins..
Though I solved it with slightly different approach, if it helps somebody..

15 days over, so 45-15=30 days left
80 men 30 days of food

80 men in 30 days, have total food of 2400,
which x+80 men completed in 20 days
20*(x+80) = 2400
x+80=120
x=120-80=40